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Finding the Fourth Proportional to 8,098.53, 12,127.51 and 5,128.03

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Solution

The fourth proportional to 8,098.53, 12,127.51 and 5,128.03 is: 7,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.53 : 12,127.51 = 5,128.03 : x
  2. Step 2: Convert to fraction form
    8,098.53/12,127.51 = 5,128.03/x
  3. Step 3: Cross multiply
    8,098.53x = 12,127.51 × 5,128.03
  4. Step 4: Simplify right side
    8,098.53x = 62,190,235.11
  5. Step 5: Solve for x
    x = 62,190,235.11/8,098.53
  6. Step 6: Final answer
    x = 7,679.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.